Solve 72*5*3*172*5+3*72*5/9*172*5+20*72*5

$$\frac{ 72 \cdot 5 \cdot 3 \cdot 172 \cdot 5+3 \cdot 72 \cdot 5 }{ 9 \cdot 172 \cdot 5+20 \cdot 72 \cdot 5 }$$

Evaluate

$$\frac{5166}{83}\approx 62.240963855$$

Solution Steps

Multiply 72 and 5 to get 360. Multiply 3 and 72 to get 216.

$$\frac{360\times 3\times 172\times 5+216\times 5}{9\times 172\times 5+20\times 72\times 5}$$

Multiply 360 and 3 to get 1080.

$$\frac{1080\times 172\times 5+216\times 5}{9\times 172\times 5+20\times 72\times 5}$$

Multiply 1080 and 172 to get 185760.

$$\frac{185760\times 5+216\times 5}{9\times 172\times 5+20\times 72\times 5}$$

Multiply 185760 and 5 to get 928800.

$$\frac{928800+216\times 5}{9\times 172\times 5+20\times 72\times 5}$$

Multiply 216 and 5 to get 1080.

$$\frac{928800+1080}{9\times 172\times 5+20\times 72\times 5}$$

Add 928800 and 1080 to get 929880.

$$\frac{929880}{9\times 172\times 5+20\times 72\times 5}$$

Multiply 9 and 172 to get 1548. Multiply 20 and 72 to get 1440.

$$\frac{929880}{1548\times 5+1440\times 5}$$

Multiply 1548 and 5 to get 7740.

$$\frac{929880}{7740+1440\times 5}$$

Multiply 1440 and 5 to get 7200.

$$\frac{929880}{7740+7200}$$

Add 7740 and 7200 to get 14940.

$$\frac{929880}{14940}$$

Reduce the fraction \frac{929880}{14940} to lowest terms by extracting and canceling out 180.

$$\frac{5166}{83}$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 7 \cdot 41}{83} = 62\frac{20}{83} = 62.24096385542169$$